Stochastic interference in a dispersive nonlinear optical fiber system

Stochastic power fluctuation in a fiber optic system due to the interplay among dispersion, nonlinearity and partial coherence of the source is investigated. An analytical expression for the power fluctuation of a signal pulse due to its interference with an echo pulse generated due to the nonlinear interaction of signal pulses in a fiber optic system excited by a partially coherent source is obtained. The analytical results show that the mean nonlinear distortion decreases as the coherence time of the source reduces consistent with our numerical simulations.